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Finding the Fourth Proportional to 665.46, 998.42 and 203.23

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Solution

The fourth proportional to 665.46, 998.42 and 203.23 is: 304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.46 : 998.42 = 203.23 : x
  2. Step 2: Convert to fraction form
    665.46/998.42 = 203.23/x
  3. Step 3: Cross multiply
    665.46x = 998.42 × 203.23
  4. Step 4: Simplify right side
    665.46x = 202,908.90
  5. Step 5: Solve for x
    x = 202,908.90/665.46
  6. Step 6: Final answer
    x = 304.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.